Geometric Transformations

Translations

100

What directions can you slide a figure for a translation?

Up, Down, Left, or Right

200

What does the movement of the vector <3,-5> describe?

3 Right, 5 Down

300

If point A is at (2,2) and you translate it left 5 units, what would the point at A' be?

(-3,2)

400

If point J is at (3,-4) and you translate it left 5 units & up 7 units, what would the point at J' be?

(-2,3)

500

If point W is at (-5,0) and first you translate it right 7 units & up 3 units then you translate it left 2 units & down 3 units, what would the point at W' be?

(0,0)

Reflections

100

What does a reflection do to a preimage?

Mirrors the preimage over a line.

200

Graph the line x = -3 and determine what the y-intercept is.

Vertical line through -3 on the x-axis. There is no y-intercept.

300

If point A is located at (5,6) and it is reflected across the x-axis, what would point A' be?

(5,-6)

400

If point K is located at (-2,-4) and it is reflected across the y-axis then reflected across the x-axis, what point would K' have?

(2,4)

500

If point X is located at (-5,-5) and it is translated 8 units to the right and 2 units up then it is reflected across the y-axis, what would the point for X' be?

(-3,-3)

Rotations

100

What point do you rotate around?

The origin or (0, 0)

200

Describe what is done to a coordinate (x,y) if you rotate it 180 degrees.

(-x,-y) or make the coordinates negative/flip the signs

300

If you have point H at (1,7) and it is rotated 270 degrees counterclockwise, what is the location of point H'?

(7,-1)

400

If you have point G at (-3,2) and you rotate it 90 degrees clockwise, what would the point G' be?

(2,3)

500

If you have point Q at (1,-4) and it is translated left 3 units & up 5 units then it is reflected across the y-axis and finally rotated 180 degrees, what point would Q' be?

(-2,-1)

Dilations

100

What does a dilation actually do?

Resizes a figure

200

If you have a scale factor of 3 what are you doing to a figure?

Enlarging it by a factor of 3.

300

If point Q is at (-3,1) and you apply a scale factor of 2 what is the new point Q'?

(-6,2)

400

Point I is located at (9,6), apply a scale factor of 1/3 and then rotate the figure 90 degrees clockwise around the origin. What is the location of point I'?

(2,-3)

500

If point U is at (4,6) and your a play a scale factor of -1/2 and then rotate the point 90 degrees counterclockwise, what will point U' be?

(3,-2)

Mr. Lacher Lore

100

What hobby do I do during the winter?

Snowboarding

200

What is Mr. Lacher's most hated subject in school?

English

300

What college did Mr. Lacher attend?

Kent State University

400

Where was Mr. Lacher's last trip with the boys?

Seattle, Washington

500

What are Mr. Lacher's other jobs?

Mentor Concessions and Tutoring